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Finding the Third Proportional to 2,699,424 and 5,839,488

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Solution

The third proportional to 2,699,424 and 5,839,488 is: 12,632,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699,424 : 5,839,488 = 5,839,488 : x
  2. Step 2: Convert to fraction form
    2,699,424/5,839,488 = 5,839,488/x
  3. Step 3: Cross multiply
    2,699,424x = 5,839,488 × 5,839,488
  4. Step 4: Simplify right side
    2,699,424x = 34,099,620,102,144
  5. Step 5: Solve for x
    x = 34,099,620,102,144/2,699,424
  6. Step 6: Final answer
    x = 12,632,183.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.